Pith Number

pith:X45ABZDU

pith:2013:X45ABZDUZCRGO6B5CBM5HKAMCP

not attested not anchored not stored refs pending

Trajectories in interlaced integral pencils of 3-dimensional analytic vector fields are o-minimal

Fernando Sanz, Olivier Le Gal, Patrick Speissegger

arxiv:1310.2225 v2 · 2013-10-08 · math.CA · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X45ABZDUZCRGO6B5CBM5HKAMCP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:33:26.602545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf3a00e474c8a267783d1059d3a80c13fb40fe4232718a46374309051de42152

Aliases

arxiv: 1310.2225 · arxiv_version: 1310.2225v2 · doi: 10.48550/arxiv.1310.2225 · pith_short_12: X45ABZDUZCRG · pith_short_16: X45ABZDUZCRGO6B5 · pith_short_8: X45ABZDU

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/X45ABZDUZCRGO6B5CBM5HKAMCP \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: bf3a00e474c8a267783d1059d3a80c13fb40fe4232718a46374309051de42152

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79e7463522fdcae67dbdd88b370a2ca89ed04bfa7194d6b2b8c34c9e9fde6030",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-10-08T18:58:09Z",
    "title_canon_sha256": "6047410aa38f3bc291e0e9737821549d8631d86c7a9ddf763ce001dd9abee760"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2225",
    "kind": "arxiv",
    "version": 2
  }
}